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141275200 = 26521123349
BaseRepresentation
bin10000110101110…
…11000001000000
3100211211112010211
420122323001000
5242131301300
622004003504
73333551023
oct1032730100
9324745124
10141275200
1172823170
123b390594
13233658c1
1414a971ba
15c6094ba
hex86bb040

141275200 has 168 divisors, whose sum is σ = 396849600. Its totient is φ = 48998400.

The previous prime is 141275191. The next prime is 141275209. The reversal of 141275200 is 2572141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141275191) and next prime (141275209).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (141275209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404626 + ... + 404974.

It is an arithmetic number, because the mean of its divisors is an integer number (2362200).

Almost surely, 2141275200 is an apocalyptic number.

141275200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198424800).

141275200 is an abundant number, since it is smaller than the sum of its proper divisors (255574400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141275200 is a wasteful number, since it uses less digits than its factorization.

141275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 141275200 is about 11885.9244486914. The cubic root of 141275200 is about 520.8211876990.

The spelling of 141275200 in words is "one hundred forty-one million, two hundred seventy-five thousand, two hundred".